SOLUTION: Write 36x^2-360x-25y^2-100y=100 in standard form. I know I am supposed to complete the square, but that is what I am having trouble with. Any help is very much appreciated!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write 36x^2-360x-25y^2-100y=100 in standard form. I know I am supposed to complete the square, but that is what I am having trouble with. Any help is very much appreciated!      Log On


   

Question 75467This question is from textbook Algebra 2
: Write 36x^2-360x-25y^2-100y=100 in standard form.
I know I am supposed to complete the square, but that is what I am having trouble with. Any help is very much appreciated! This question is from textbook Algebra 2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if you factor and group the terms, it is easier to see...36%28x%5E2-10x%29-25%28y%5E2-4y%29=100

now, complete the squares of the x and y expressions...but remember...terms that you add to complete the squares are multipled by the corresponding coefficients... eg when you add 25 to complete the square of the x expression, you must add 36 X 25 to balance the equation

36%28x%5E2-10x%2B25%29-25%28y%5E2-4y%2B4%29=100%2B%2836%2A25%29-%2825%2A4%29...or36%28x-5%29%5E2-25%28y-2%29%5E2=100%2B900-100...or

6%5E2%28x-5%29%5E2-5%5E2%28y-2%29%5E2=30%5E2